Braiding for Categorical and Crossed Lie Algebras and Simplicial Lie Algebras

In this work, we give the notion of braiding for categorical Lie algebras and crossed modules of Lie algebras and we give an equivalence between them.

Anahtar Kelimeler:

Simplicial Lie Algebra, Categorical Lie Algebra Crossed Modul

Braiding for Categorical and Crossed Lie Algebras and Simplicial Lie Algebras

In this work, we give the notion of braiding for categorical Lie algebras and crossed modules of Lie algebras and we give an equivalence between them.

Keywords:

Simplicial Lie Algebra, Categorical Lie Algebra Crossed Modul,

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Dumlupınar University, Department of Mathematics, K¨utahya-TURKEY e-mail: eulualan@dumlupinar.edu.tr